Finding the Third Proportional to 106,250 and 231,194

Step by Step Solution

1. Step 1: Write the proportion equation
   106,250 : 231,194 = 231,194 : x
2. Step 2: Convert to fraction form
   106,250/231,194 = 231,194/x
3. Step 3: Cross multiply
   106,250x = 231,194 × 231,194
4. Step 4: Simplify right side
   106,250x = 53,450,665,636
5. Step 5: Solve for x
   x = 53,450,665,636/106,250
6. Step 6: Final answer
   x = 503,065.09